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arXiv · 1609.02711

Parametrization of Minimal Spectral Factors of Discrete-Time Rational Spectral Densities

Giacomo Baggio·Augusto Ferrante
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Abstract

In this paper, the problem of providing a complete parametrization of the minimal spectral factors of a discrete-time rational spectral density is considered. The desired parametrization, given in terms of the all-pass divisors of a certain all-pass function, is established in the most general setting: after several partial results, mostly in the continuous-time case, this is indeed the first complete parametrization obtained without resorting to any facilitating assumption. This result provides a positive answer to a conjecture raised in [Baggio and Ferrante, 2016].

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Giacomo Baggio, Augusto Ferrante. 2016-09-09. Parametrization of Minimal Spectral Factors of Discrete-Time Rational Spectral Densities. https://arxiv.org/abs/1609.02711

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